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professor190 [17]
3 years ago
9

Convert 1.5% to decimal and a fraction. Show and explain your method

Mathematics
1 answer:
7nadin3 [17]3 years ago
7 0

Answer:

0.015 and 3/200.

Step-by-step explanation:

1.5% is equal to 0.015. Percents are always equal to their decimal counterparts; basically, the number over 100. Dividing 1.5 by 100 will yield us 0.015.

0.015 is going to be equal to 15/1000, or 3/200. Since we did 1.5/100, we need to multiply both sides of the fraction by 10 so there are no decimal points. Therefore, this is 15/1000. If we divide both sides of this fraction by 5, then we get 3/200, which is the most simplified form.

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Shelly is trying to improve her running time for a track race. She ran the first race in 43.13 seconds. Her time was 43.1 second
saul85 [17]
<h3>The time in fourth race is 43.04 seconds</h3>

<em><u>Solution:</u></em>

Given that,

Shelly is trying to improve her running time for a track race

She ran the first race in 43.13 seconds

Her time was 43.1 seconds in the second race and 43.07 seconds in the third race

<em><u>Therefore, pattern is:</u></em>

43.13, 43.1, 43.07 , ..

<em><u>Find the difference between each terms</u></em>

d = 43.13 - 43.1 = 0.03

d = 43.1 - 43.07 = 0.03

Thus the difference is same

<em><u>If this pattern continues what will shellys time be in the fourth race?</u></em>

Fourth race = third race - 0.03

Fourth race = 43.07 - 0.03 = 43.04

Thus the time in fourth race is 43.04 seconds

8 0
3 years ago
2x10^-5 i need help please
densk [106]

Answer:

1/50000

Step-by-step explanation:

Sorry if this wasn't helpful! this was the only logical answer i had!

3 0
3 years ago
PLEASE ANSWER picture shown
Alexxx [7]
\frac{x}{2} + \frac{7}{9x}
= \frac{x*9x}{2*9x} + \frac{7*2}{9x*2}
= \frac{9x^2}{18x} + \frac{14}{18x}
= \frac{9x^2+14}{18x}

Therefore the answer is B.

Hope this helps !

Photon
5 0
3 years ago
Jeff sells popcorn for $3 per bag. To make a profit each day, he needs to sell at least $120 worth of popcorn. He has sold $36 w
Zepler [3.9K]

Answer:

The inequality tha can be used to find how many more bags of popcorn Jeff still needs to sell today to make a profit is

x - 12 ≥ 40.

Step-by-step explanation:

Let us represent the number of bags of popcorn as p

Jeff sells popcorn for $3 per bag. To make a profit each day, he needs to sell at least $120 worth of popcorn.

We have the equation:

$3 × p ≥ $120

3p ≥ $120

p ≥ 120/3

p ≥ 40 bags

He must sell at least 40 bags to make a profit

He has sold $36 worth of popcorn today.

1 bag is $3

Hence, he has sold

$36/$3 = 12 bags of popcorn

Which inequality can be used to find Jeff still needs to sell today to make a profit?

This equality is given as:

x - 12 bags ≥ 40 bags

x - 12 ≥ 40

x ≥40 - 12

x ≥ 28 bags

She still need to sell 28 more bags of popcorn.

4 0
3 years ago
NEED HELP ASAP PLEASE!! The provided diagram of triangle ABC will help you to prove that the base angles of an isosceles triangl
Lunna [17]

Answer: The proof is mentioned below.

Step-by-step explanation:

Here, Δ ABC is isosceles triangle.

Therefore, AB = BC

Prove: Δ ABO ≅ Δ ACO

In Δ ABO and Δ ACO,

∠ BAO ≅ ∠ CAO  ( AO bisects ∠ BAC )

∠ AOB ≅ ∠ AOC ( AO is perpendicular to BC )

BO ≅ OC ( O is the mid point of BC)

Thus, By ASA postulate of congruence,

Δ ABO ≅ Δ ACO

Therefore, By CPCTC,

∠B ≅ ∠ C

Where ∠ B and ∠ C are the base angles of Δ ABC.


7 0
3 years ago
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